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Rawlins-Schellhardt Gas Deliverability Rate Formula

qg=CRS(Pr2Pwf2)nRSq_g=C_{RS}\left(P_r^2-P_{wf}^2\right)^{n_{RS}}

Rawlins-Schellhardt Gas Deliverability Rate calculates gas flow rate for inflow performance workflows in production engineering.

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How engineers use this formula

Use this formula when the listed inputs (C_rs, P_r, P_wf, n_rs) are known and the assumptions behind the cited inflow performance relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, q_g equals 87.209596 MSCF/day.

C_rsMSCF/day/psi^(2n)

0.0003

P_rpsia

3000

P_wfpsia

1500

n_rsdimensionless

0.8

Inputs

C_rs

MSCF/day/psi^(2n)

Rawlins-Schellhardt Deliverability Coefficient

P_r

psia

Average Reservoir Pressure

P_wf

psia

Flowing Bottom-Hole Pressure

n_rs

dimensionless

Rawlins-Schellhardt Deliverability Exponent

Outputs

q_g

MSCF/day

Gas Flow Rate

C_rs

MSCF/day/psi^(2n)

Rawlins-Schellhardt Deliverability Coefficient

delta_p2

psi^2

Pressure-Squared Drawdown

P_r

psia

Average Reservoir Pressure

P_wf

psia

Flowing Bottom-Hole Pressure

n_rs

dimensionless

Rawlins-Schellhardt Deliverability Exponent

Source and review

reviewed

Penn State PNG 301. Deliverability Testing, Rawlins-Schellhardt backpressure relationship.

Source

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